Quantum response of dephasing open systems

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  Avron, J E ^a   Fraas, M ^a   Graf, G M ^b   Kenneth, O ^a,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b ETH ZURICH   (Switzerland)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT STATE; CONTROL SPACES; DEPHASING; DEPHASING RATES; FUNCTIONAL FORMS; GEOMETRIC INTERPRETATION; INVERSE MATRIX; LINDBLAD; PHYSICAL SYSTEMS; QUANTUM HALL EFFECT; QUANTUM RESPONSE; QUANTUM STATE; RESPONSE COEFFICIENT; SPECTRAL GAP; SYMPLECTIC; TWO-LEVEL SYSTEM;

HALL EFFECT; INVERSE PROBLEMS; QUANTUM THEORY;

QUANTUM OPTICS;

EID: 79958831414     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/5/053042     Document Type: Article

References (24)

1. Mahan G D 1981 Many-Particle Physics (New York: Plenum)
2. Evans D J and Morriss G P 2008 Statistical Mechanics of Nonequilibrium Liquids (Cambridge: Cambridge University Press)
3. Thouless D J 1998 Topological Quantum Numbers in Nonrelativistic Physics (Singapore: World Scientific)
4. Berry M V and Robbins J M 1993 Chaotic classical and half-classical adiabatic reactions: geometric magnetism and deterministic friction Proc. Math. Phys. Sci. 442 659-72
5. Avron J E, Raveh A and Zur B 1988 Adiabatic quantum transport in multiply connected systems Rev. Mod. Phys. 60 873-915
6. Berry M V 1984 Quantal phase factors accompanying adiabatic changes Proc. R. Soc. A 392 45-57
7. Thouless D J, Kohmoto M, Nightingale M P and den Nijs M 1982 Quantized Hall conductance in a twodimensional periodic potential Phys. Rev. Lett. 49 405-8
8. Avron J E, Seiler R and Simon B 1983 Homotopy and quantization in condensed matter physics Phys. Rev. Lett. 51 51-3
9. Altland A and Zirnbauer M R 1997 Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures Phys. Rev. B 55 1142-61 (Pubitemid 127486420)
10. Kitaev A 2009 Periodic table for topological insulators and superconductors arXiv:0901.2686
11. 2 topological order and the quantum spin Hall effect Phys. Rev. Lett. 95 146802
12. Davies E B 1976 Quantum Theory of Open Systems (London: Academic)
13. Breuer H P and Petruccione F 2003 Theory of Open Quantum Systems (Oxford: Oxford University Press)
14. Whitney R S, Makhlin Y, Shnirman A and Gefen Y 2005 Geometric nature of the environment-induced Berry phase and geometric dephasing Phys. Rev. Lett. 94 070407
15. Avron J E, Seiler R and Yaffe L G 1987 Adiabatic theorems and applications to the quantum Hall effect Commun. Math. Phys. 110 33-49
16. Bellissard J 2002 Coherent and dissipative transport in aperiodic solids: an overview Lecture Notes Phys. 597 413-85
17. Gebauer R and Car R 2004 Current in open quantum systems Phys. Rev. Lett. 93 160404
18. Avron J E, Fraas M, Graf G M and Grech P 2009 Landau-Zener tunneling for dephasing Lindblad evolutions Commun. Math. Phys. to appear (arXiv:0912.4640)
19. Nakahara M 2003 Geometry Topology and Physics 2nd edn (Bristol: Institute of Physics Publishing)
20. Avron J E, Seiler R and Zograf P G 1995 Viscosity of quantum Hall fluids Phys. Rev. Lett. 75 697-700
21. Zak J 1964 Magnetic translation group Phys. Rev. A 134 1602-6
22. Mumford D 2007 Tata Lectures on Theta. I. Modern Birkhäuser Classics (Basel: Birkhäuser)
23. Oksendal B 2000 Stochastic Differential Equations (Berlin: Springer)
24. Aniello P, Kossakowski A, Marmo G and Ventriglia F 2010 Brownian motion on Lie groups and open quantum systems arXiv:1002.3507